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Finding the Fourth Proportional to 153,643.20, 230,248.80 and 122,107.20

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Solution

The fourth proportional to 153,643.20, 230,248.80 and 122,107.20 is: 182,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,643.20 : 230,248.80 = 122,107.20 : x
  2. Step 2: Convert to fraction form
    153,643.20/230,248.80 = 122,107.20/x
  3. Step 3: Cross multiply
    153,643.20x = 230,248.80 × 122,107.20
  4. Step 4: Simplify right side
    153,643.20x = 28,115,036,271.36
  5. Step 5: Solve for x
    x = 28,115,036,271.36/153,643.20
  6. Step 6: Final answer
    x = 182,989.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.